8/13/2019 Hypothesis Test Report_Ztest for Mean (1)
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Hypothesis Test Report-Single Sample Z-test
Example:A research meteorologist has been studying wind patterns
over the Pacific Ocean. Based on these
studies a new route is proposed for commercial airlines going
from San Francisco to Honolulu. The new route
is intended to take advantage of existing wind patterns to
reduce flying time. It is known that for the oldroute the
distribution of flying times for a large four-engine jet has a mean
=5.25 hours with = 0.60 .Twenty-five flights on the new route have
yielded a mean flying time of x =5.1 hours. Does this indicate
thatthe average flying time for the new route is less than that of
the old route? Use 0.05 = .
0. Identify the parameter of interest.
State the hypotheses of interest.
1. Null hypothesis: Statement of strict equality about a
population parameter. This statement represents
the status quo or what was believed to be true in the past.
: 5.25o
H = hours
2. Alternative hypothesis: Statement of strict inequality about
a population parameter. This is the
research hypothesis. It can take one of three forms. Only oneof
the following three alternatives will be
appropriate in any situation.
( )
1. :
: 5.25
A o
A
H
H
upper tailed
>
>
( )
2. :
: 5.25
A o
A
H
H
lower tailed
